A new discrete probability distribution with integer support on (−∞, ∞)

Subrata Chakraborty and Dhrubajyoti Chakravarty

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 2, 492-505

Abstract: A new discrete probability distribution with integer support on (−∞, ∞) is proposed as a discrete analog of the continuous logistic distribution. Some of its important distributional and reliability properties are established. Its relationship with some known distributions is discussed. Parameter estimation by maximum-likelihood method is presented. Simulation is done to investigate properties of maximum-likelihood estimators. Real life application of the proposed distribution as empirical model is considered by conducting a comparative data fitting with Skellam distribution, Kemp's discrete normal, Roy's discrete normal, and discrete Laplace distribution.

Date: 2016
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DOI: 10.1080/03610926.2013.830743

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